// need #include #include // data structure #include #include #include #include #include #include #include #include #include //#include #include #include #include // stream //#include //#include //#include #include // etc #include #include #include #include //#include #include #include // input #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w=0; w void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define VEC(type, c, n) std::vector c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& R:c)for(auto& w:R)std::cin>>w; // output #define OUT(dist) std::cout<<(dist); #define FOUT(n, dist) std::cout<=(a);--w) #define REP(w, n) for(int w=0;w=0;--w) #define FORLL(w, a, n) for(ll w=ll(a);w=ll(a);--w) #define REPLL(w, n) for(ll w=0;w=0;--w) #define IN(a, x, b) (a<=x && x inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } #define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]" #define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;} //void CHECKTIME(std::function f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast((end - start)).count(); std::cerr << "[Time:" << res << "ns (" << res / (1.0e9) << "s)]\n"; } // test template std::vector> VV(int n, int m, T init = T()) { return std::vector>(n, std::vector(m, init)); } template std::ostream& operator<<(std::ostream& os, std::pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } // type/const #define int ll using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair; using PAIRLL = std::pair; constexpr int INFINT = 1 << 30; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-10; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; template void FILL(T(&a)[N], const T& val) { for (auto& x : a) x = val; } template void FILL(ARY(&a)[N][M], const T& val) { for (auto& b : a) FILL(b, val); } template void FILL(std::vector& a, const T& val) { for (auto& x : a) x = val; } template void FILL(std::vector>& a, const T& val) { for (auto& b : a) FILL(b, val); } // ------------>8------------------------------------->8------------ unsigned long long popCount(unsigned long long x) { x = ((x & 0xaaaaaaaaaaaaaaaaUL) >> 1) + (x & 0x5555555555555555UL); x = ((x & 0xccccccccccccccccUL) >> 2) + (x & 0x3333333333333333UL); x = ((x & 0xf0f0f0f0f0f0f0f0UL) >> 4) + (x & 0x0f0f0f0f0f0f0f0fUL); x = ((x & 0xff00ff00ff00ff00UL) >> 8) + (x & 0x00ff00ff00ff00ffUL); x = ((x & 0xffff0000ffff0000UL) >> 16) + (x & 0x0000ffff0000ffffUL); return x; } constexpr int n = 16; int dp[1 << n][n]; std::vector> a; std::map map; void rec(int mask) { if (map.count(mask)) return; map[mask]; int P = popCount(mask); if (P == 1) { REP(p, n) { if (mask & 1 << p) { dp[mask][p] = 1; } } return; } for (int bit = mask; bit > 0; bit = (bit - 1) & mask) { if (popCount(bit) * 2 != P) continue; int rbit = ~bit & mask; rec(bit); rec(rbit); std::vector c, d; REP(i, n) if ( bit & 1 << i) c.emplace_back(i); REP(i, n) if (rbit & 1 << i) d.emplace_back(i); REP(i, c.size()) REP(j, d.size()) { if (dp[bit][c[i]] == 0 || dp[rbit][d[j]] == 0) continue; int t = c[i]; if (a[c[i]][d[j]] == -1) t = d[j]; dp[mask][t] += dp[bit][c[i]] * dp[rbit][d[j]]; } } } signed main() { INIT; MAT(int, a_, n, n); a = a_; REP(i, n) FOR(j, i + 1, n) a[j][i] = -a[i][j]; rec((1 << n) - 1); REP(i, n) { OUT(dp[(1 << n) - 1][i])BR; } return 0; }